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Peer reviewedFroemel, Ernest C. – Psychometrika, 1971
Saunder's routine, Buhler's empirical approximation, and Castellan's series expansion are compared. Saunder's routine was identified as an acceptably accurate method. (PR)
Descriptors: Comparative Analysis, Computer Programs, Correlation, Factor Analysis
Peer reviewedKwak, Junkyu Christopher; Pulvino, Charles J. – Journal of Vocational Behavior, 1982
Presents a mathematical model utilizing three-letter codes of personality patterns determined from the Self Directed Search. This model compares personality types over time or determines relationships between personality types and person-environment interactions. This approach is consistent with Holland's theory yet more comprehensive than one- or…
Descriptors: Career Choice, Comparative Analysis, Mathematical Models, Models
Peer reviewedMarascuilo, Leonard A.; Slaughter, Robert E. – Journal of Educational Measurement, 1981
Six statistical methods for identifying possible sources of bias in standardized test items are presented. The relationship between chi-squared methods and item-response theory methods are also discussed. (Author/BW)
Descriptors: Comparative Analysis, Latent Trait Theory, Mathematical Models, Standardized Tests
Peer reviewedSchroeder, Marsha L.; Hakstian, A. Ralph – Psychometrika, 1990
A 2-facet measurement model is identified, and its coefficient of generalizability (CG) is examined. Three other multifaceted measurement models and their CGs are identified. An empirical investigation of all four procedures is conducted using data from a study of the psychopathology of 71 prison inmates. (SLD)
Descriptors: Comparative Analysis, Equations (Mathematics), Generalizability Theory, Mathematical Models
Peer reviewedClogg, Clifford C.; And Others – Journal of Educational Statistics, 1992
Methods for assessing collapsibility in regression problems are described, including possible extensions to the class of generalized linear models. These procedures, with terminology borrowed from the contingency table field, can be used in experimental settings or nonexperimental settings where two models viewed as alternative explanations are…
Descriptors: Comparative Analysis, Equations (Mathematics), Mathematical Models, Maximum Likelihood Statistics
Peer reviewedLin, Jianhua; Storer, James A. – Information Processing & Management, 1994
Describes the design of optimal tree-structured vector quantizers that minimize the expected distortion subject to cost functions related to storage cost, encoding rate, or quantization time. Since the optimal design problem is intractable in most cases, the performance of a general design heuristic based on successive partitioning is analyzed.…
Descriptors: Algorithms, Coding, Comparative Analysis, Costs
Peer reviewedCritchlow, Douglas E.; Fligner, Michael A. – Psychometrika, 1991
A variety of paired comparison, triple comparison, and ranking experiments are discussed as generalized linear models. All such models can be easily fit by maximum likelihood using the GLIM computer package. Examples are presented for a variety of cases using GLIM. (SLD)
Descriptors: Comparative Analysis, Computer Simulation, Computer Software, Equations (Mathematics)
Peer reviewedZeng, Lingjia – Applied Psychological Measurement, 1993
A numerical approach for computing standard errors (SEs) of a linear equating is described in which first partial derivatives of equating functions needed to compute SEs are derived numerically. Numerical and analytical approaches are compared using the Tucker equating method. SEs derived numerically are found indistinguishable from SEs derived…
Descriptors: Comparative Analysis, Computer Simulation, Equated Scores, Equations (Mathematics)
Peer reviewedBusemeyer, Jerome R.; Townsend, James T. – Psychological Review, 1993
A decision field theory is proposed and used to explain motivational and cognitive mechanisms that guide the deliberation process involved in decisions made under uncertainty. Decision theories are extended into the stochastic-dynamic category. The proposed theory is compared with four other theories of decision making under uncertainty. (SLD)
Descriptors: Cognitive Processes, Comparative Analysis, Decision Making, Equations (Mathematics)
Peer reviewedCramer, Kenneth M. – Educational and Psychological Measurement, 1998
Whether the one- or two-factor Wechsler or weighted sum scores (WSS) structural models adequately fit the Wechsler Intelligence Scale for Children III (WISC-III) covariance matrices was studied with samples of 2200 and 1118 children from previous studies. Both the WSS and supplemented models provided better fit than Wechsler's model but still…
Descriptors: Comparative Analysis, Factor Structure, Goodness of Fit, Intelligence
McFarland, Daniel A.; Rodan, Simon – Sociology of Education, 2009
Prior work has proposed different theoretical mechanisms to explain students' course-taking patterns in schools. On the one hand, there are oversocialized accounts that claim that rules, social background factors, and supply-side factors shape observed career patterns. On the other hand, there are undersocialized accounts that claim that the…
Descriptors: Course Selection (Students), Socioeconomic Background, High School Students, Mathematics Instruction
Dorans, Neil J.; Holland, Paul W. – 1992
At the Educational Testing Service, the Mantel-Haenszel procedure is used for differential item functioning (DIF) detection, and the standardization procedure is used to describe DIF. This report describes these procedures. First, an important distinction is made between DIF and impact, pointing to the need to compare the comparable. Then, these…
Descriptors: Comparative Analysis, Distractors (Tests), Identification, Item Bias
Klockars, Alan J.; Hancock, Gregory R. – 1993
The challenge of multiple comparisons is to maximize the power for answering specific research questions, while still maintaining control over the rate of Type I error. Several multiple comparison procedures have been suggested to meet this challenge. The stagewise protected procedure (SPP) of A. J. Klockars and G. R. Hancock tests null hypotheses…
Descriptors: Comparative Analysis, Computer Simulation, Hypothesis Testing, Mathematical Models
Thayer, Jerome D. – 1991
The extent to which standardized regression coefficients (beta values) can be used to determine the importance of a variable in an equation was explored. The beta value and the part correlation coefficient--also called the semi-partial correlation coefficient and reported in squared form as the incremental "r squared"--were compared for…
Descriptors: Comparative Analysis, Correlation, Equations (Mathematics), Mathematical Models
Peer reviewedAlf, Edward F., Jr.; Abrahams, Norman M. – Psychometrika, 1975
In applied and experimental research, it has been demonstrated that the extreme groups procedure is more powerful than the standard correlational approach for some values of the correlation and extreme group size. Methods are provided for using the covariance information that is usually discarded in the classical extreme groups approach.…
Descriptors: Comparative Analysis, Correlation, Experimental Groups, Mathematical Models

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